1) The IQ of the author’s college students is normally distributed with a mean of 100 and a standard deviation of 15. What percentage of college students have IQs between 70 to 130? (Use the empirical rule to solve the problem) Please explain how you get the answer. You can use excel to show how to use the formula if needed.

2) At a high school, GPA’s are normally distributed with a mean of 2.6 and a standard deviation of 0.5. What percentage of students at the college have a GPA between 2.1 and 3.1? Please explain how you get the answer. You can use excel to show how to use the formula if needed.

An experiment sought to discover if a course on nutrition would influence the Body Mass Index (BMI) of the students enrolled. Measures of body fat percentages were taken before the yearlong course and then again at the end of the course for each of the 10 students. The data are as follows: Student: 1 2 3 4 5 6 7 8 9 10 Before: 16.85 18.62 35.79 22.66 18.74 22.25 19.95 14.61 27.49 20.00 End: 16.42 18.53 36.01 22.53 18.59 22.03 19.25 14.06 26.11 19.42 Test the hypothesis at the 0.05 level of significance that the mean body fat percentages of the students decreased by the end of the course. Solve using MegaStat

6) A standardized reading achievement test for 5^th grade students has a nationwide mean of μ = 70. A teacher would like to know whether the students in her fifth grade class are significantly different from the national average. The test is given to the entire class of n = 25 students and the average score is 75 with SS = 2400.

     a) Using a two-tailed test with α = .05, is this class significantly different from the national

          average?

     b) Using a two-tailed test with α = .01, is the class significantly different from the national

           average?

     c) Explain why you reach a different conclusion when α = .01 instead of α = .05.

i need proposl on country from West Europe

All students (individually) are required to submit a National Institutional Analysis Report (NIAR), preferably of an emerging or underdeveloped economy. students will select a country that will become the focus of this research paper. (PROFESSOR MUST APPROVE OF COUNTRY SELECTION BEFORE THIS ASSIGNMENT IS BEGUN). The proposal must rationalize and justify choice of country. In this assignment, the student examines how the institutional environment of their chosen country has given rise to the particular business-environment challenges we address in the course. Students will discuss how these businessenvironment challenges might affect firms and managers operating in that environment and outline a series of strategic recommendations for managers

A binary variable can be introduced to a mixed integer program to allow for a “threshold constraint.” A threshold constraint says that if any units are used, at least a specified minimum amount must be used. Define X as the number of students that will go on a planned field trip. The school will rent a bus only if at least 20 students plan to go on the trip. Define Y as a binary variable that equals 1 if X is nonzero, and equals 0 if X is zero (i.e., if nobody goes on the trip). If M represents a very large number, what two constraints can be added to the mixed integer program to ensure that if any students go on the field trip, at least 20 have to go?

Dr. McDonald thinks that his group of earth science students is particularly special (in a good way), and he is interested in knowing if their class average falls within the boundaries of the average score for the larger group of students who have taken earth science over the past 20 years. Because he has kept good records, he knows the means and standard deviations for both his group of 24 students and the larger group of 2000 past enrollees. Here are the data he has, and the values for which you will need to compute the z-test.

In a random sample of 35 Penn State Shenango students, 17 were attending full-time. In a random sample of 40 World Campus students, 13 were attending full-time.. Use the five-step hypothesis testing procedure given below to determine if there is evidence of a difference between the proportions of all Penn State Shenango and all Penn State World Campus students who are attending full-time.

Step 1: Check assumptions and write hypotheses

Step 2: Calculate the test statistic

̩Step 3: Determine the p-value

Step 4: Decide between the null and alternative hypotheses

Step 5: State a real world conclusion

In a random sample of 35 Penn State Shenango students, 17 were attending full-time. In a random sample of 40 World Campus students, 13 were attending full-time.. Use the five-step hypothesis testing procedure given below to determine if there is evidence of a difference between the proportions of all Penn State Shenango and all Penn State World Campus students who are attending full-time.

Step 1: Check assumptions and write hypotheses

Step 2: Calculate the test statistic

̩Step 3: Determine the p-value

Step 4: Decide between the null and alternative hypotheses

Step 5: State a real world conclusion

For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.

What percentage of your campus student body is female? Let p be the proportion of women students on your campus.

(a) If no preliminary study is made to estimate p, how large a sample is needed to be 99% sure that a point estimate p̂ will be within a distance of 0.03 from p? (Round your answer up to the nearest whole number.)
  students

(b) A report indicates that approximately 58% of college students are females. Answer part (a) using this estimate for p. (Round your answer up to the nearest whole number.)